{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The MIT License (MIT)\n",
    "\n",
    "# Copyright (c) 2020, NVIDIA CORPORATION.\n",
    "\n",
    "# Permission is hereby granted, free of charge, to any person obtaining a copy of\n",
    "# this software and associated documentation files (the \"Software\"), to deal in\n",
    "# the Software without restriction, including without limitation the rights to\n",
    "# use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of\n",
    "# the Software, and to permit persons to whom the Software is furnished to do so,\n",
    "# subject to the following conditions:\n",
    "\n",
    "# The above copyright notice and this permission notice shall be included in all\n",
    "# copies or substantial portions of the Software.\n",
    "\n",
    "# THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n",
    "# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS\n",
    "# FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR\n",
    "# COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER\n",
    "# IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN\n",
    "# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial: Feature Engineering for Recommender Systems\n",
    "\n",
    "# Infrastructure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our tutorial, we are using [RAPIDS.AI cudf](https://github.com/rapidsai/cudf), an GPU accelerated dataframe. The API is similar to pandas, but the calculations are executed on the GPU."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cudf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are using a NVIDIA Tesla T4 GPU with 16 GB memory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mon Sep 21 13:27:24 2020       \n",
      "+-----------------------------------------------------------------------------+\n",
      "| NVIDIA-SMI 440.64.00    Driver Version: 440.64.00    CUDA Version: 10.2     |\n",
      "|-------------------------------+----------------------+----------------------+\n",
      "| GPU  Name        Persistence-M| Bus-Id        Disp.A | Volatile Uncorr. ECC |\n",
      "| Fan  Temp  Perf  Pwr:Usage/Cap|         Memory-Usage | GPU-Util  Compute M. |\n",
      "|===============================+======================+======================|\n",
      "|   0  Tesla T4            Off  | 00000000:00:1E.0 Off |                    0 |\n",
      "| N/A   47C    P0    27W /  70W |     11MiB / 15109MiB |      0%      Default |\n",
      "+-------------------------------+----------------------+----------------------+\n",
      "                                                                               \n",
      "+-----------------------------------------------------------------------------+\n",
      "| Processes:                                                       GPU Memory |\n",
      "|  GPU       PID   Type   Process name                             Usage      |\n",
      "|=============================================================================|\n",
      "|  No running processes found                                                 |\n",
      "+-----------------------------------------------------------------------------+\n"
     ]
    }
   ],
   "source": [
    "!nvidia-smi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Exploring Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our tutorial, we want to explain and show the value of preprocessing and feature engineering on a real-world dataset. Therefore, we use the [eCommerce behavior data from multi category store](https://www.kaggle.com/mkechinov/ecommerce-behavior-data-from-multi-category-store) from [REES46 Marketing Platform](https://rees46.com/) as our dataset. In a few cases, we will use synthetic data to show the calculations in order to explain the theory.<br><br>\n",
    "\n",
    "[eCommerce behavior data from multi category store](https://www.kaggle.com/mkechinov/ecommerce-behavior-data-from-multi-category-store) is a dataset containing the user behavior (view/add to cart/ purchase) of an ecommerce shop over 7 months.\n",
    "* Events: View, AddToCart, Purchase\n",
    "* Timeframe: Oct-2019 - April 2020\n",
    "<br><br>\n",
    "As the dataset contains only interactions (positive samples), we need to define a goal / target to predict. There is a lot of literature about how to construct negative samples from the dataset in order to make the goal easier or harder to predict.<br><br>\n",
    "For our tutorial, we decided that our goal is to predict if a user purchased an item:\n",
    "\n",
    "<li> Positive: User purchased an item\n",
    "<li> Negative: User added an item to the cart, but did not purchase it (in the same session)    \n",
    "<br><br>    \n",
    "We split the dataset in train, validation and testset by the timestamp:\n",
    "<li> Training: October 2019 - February 2020\n",
    "<li> Validation: March 2020\n",
    "<li> Test: April 2020"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's have a short look on the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import IPython\n",
    "\n",
    "import cudf\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_train = pd.read_parquet('../data/train.parquet')\n",
    "df_valid = pd.read_parquet('../data/valid.parquet')\n",
    "df_test = pd.read_parquet('../data/test.parquet')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((11461357, 19), (2461719, 19), (2772486, 19))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_train.shape, df_valid.shape, df_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.concat([df_train, df_valid, df_test],ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16695562, 19)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['timestamp'] = pd.to_datetime(df['timestamp'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>event_time</th>\n",
       "      <th>event_type</th>\n",
       "      <th>product_id</th>\n",
       "      <th>brand</th>\n",
       "      <th>price</th>\n",
       "      <th>user_id</th>\n",
       "      <th>user_session</th>\n",
       "      <th>target</th>\n",
       "      <th>cat_0</th>\n",
       "      <th>cat_1</th>\n",
       "      <th>cat_2</th>\n",
       "      <th>cat_3</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>ts_hour</th>\n",
       "      <th>ts_minute</th>\n",
       "      <th>ts_weekday</th>\n",
       "      <th>ts_day</th>\n",
       "      <th>ts_month</th>\n",
       "      <th>ts_year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-12-01 00:00:28 UTC</td>\n",
       "      <td>cart</td>\n",
       "      <td>17800342</td>\n",
       "      <td>zeta</td>\n",
       "      <td>66.90</td>\n",
       "      <td>550465671</td>\n",
       "      <td>22650a62-2d9c-4151-9f41-2674ec6d32d5</td>\n",
       "      <td>0</td>\n",
       "      <td>computers</td>\n",
       "      <td>desktop</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "      <td>2019-12-01 00:00:28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>2019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-12-01 00:00:39 UTC</td>\n",
       "      <td>cart</td>\n",
       "      <td>3701309</td>\n",
       "      <td>polaris</td>\n",
       "      <td>89.32</td>\n",
       "      <td>543733099</td>\n",
       "      <td>a65116f4-ac53-4a41-ad68-6606788e674c</td>\n",
       "      <td>0</td>\n",
       "      <td>appliances</td>\n",
       "      <td>environment</td>\n",
       "      <td>vacuum</td>\n",
       "      <td>None</td>\n",
       "      <td>2019-12-01 00:00:39</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>2019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-12-01 00:00:40 UTC</td>\n",
       "      <td>cart</td>\n",
       "      <td>3701309</td>\n",
       "      <td>polaris</td>\n",
       "      <td>89.32</td>\n",
       "      <td>543733099</td>\n",
       "      <td>a65116f4-ac53-4a41-ad68-6606788e674c</td>\n",
       "      <td>0</td>\n",
       "      <td>appliances</td>\n",
       "      <td>environment</td>\n",
       "      <td>vacuum</td>\n",
       "      <td>None</td>\n",
       "      <td>2019-12-01 00:00:40</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>2019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-12-01 00:00:41 UTC</td>\n",
       "      <td>cart</td>\n",
       "      <td>3701309</td>\n",
       "      <td>polaris</td>\n",
       "      <td>89.32</td>\n",
       "      <td>543733099</td>\n",
       "      <td>a65116f4-ac53-4a41-ad68-6606788e674c</td>\n",
       "      <td>0</td>\n",
       "      <td>appliances</td>\n",
       "      <td>environment</td>\n",
       "      <td>vacuum</td>\n",
       "      <td>None</td>\n",
       "      <td>2019-12-01 00:00:41</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>2019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-12-01 00:01:56 UTC</td>\n",
       "      <td>cart</td>\n",
       "      <td>1004767</td>\n",
       "      <td>samsung</td>\n",
       "      <td>235.60</td>\n",
       "      <td>579970209</td>\n",
       "      <td>c6946211-ce70-4228-95ce-fd7fccdde63c</td>\n",
       "      <td>0</td>\n",
       "      <td>construction</td>\n",
       "      <td>tools</td>\n",
       "      <td>light</td>\n",
       "      <td>None</td>\n",
       "      <td>2019-12-01 00:01:56</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>2019</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                event_time event_type  product_id    brand   price    user_id  \\\n",
       "0  2019-12-01 00:00:28 UTC       cart    17800342     zeta   66.90  550465671   \n",
       "1  2019-12-01 00:00:39 UTC       cart     3701309  polaris   89.32  543733099   \n",
       "2  2019-12-01 00:00:40 UTC       cart     3701309  polaris   89.32  543733099   \n",
       "3  2019-12-01 00:00:41 UTC       cart     3701309  polaris   89.32  543733099   \n",
       "4  2019-12-01 00:01:56 UTC       cart     1004767  samsung  235.60  579970209   \n",
       "\n",
       "                           user_session  target         cat_0        cat_1  \\\n",
       "0  22650a62-2d9c-4151-9f41-2674ec6d32d5       0     computers      desktop   \n",
       "1  a65116f4-ac53-4a41-ad68-6606788e674c       0    appliances  environment   \n",
       "2  a65116f4-ac53-4a41-ad68-6606788e674c       0    appliances  environment   \n",
       "3  a65116f4-ac53-4a41-ad68-6606788e674c       0    appliances  environment   \n",
       "4  c6946211-ce70-4228-95ce-fd7fccdde63c       0  construction        tools   \n",
       "\n",
       "    cat_2 cat_3           timestamp  ts_hour  ts_minute  ts_weekday  ts_day  \\\n",
       "0    None  None 2019-12-01 00:00:28        0          0           6       1   \n",
       "1  vacuum  None 2019-12-01 00:00:39        0          0           6       1   \n",
       "2  vacuum  None 2019-12-01 00:00:40        0          0           6       1   \n",
       "3  vacuum  None 2019-12-01 00:00:41        0          0           6       1   \n",
       "4   light  None 2019-12-01 00:01:56        0          1           6       1   \n",
       "\n",
       "   ts_month  ts_year  \n",
       "0        12     2019  \n",
       "1        12     2019  \n",
       "2        12     2019  \n",
       "3        12     2019  \n",
       "4        12     2019  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have the following features:\n",
    "* timestamp\n",
    "* user_id\n",
    "* user_session\n",
    "* product_id\n",
    "* brand\n",
    "* price\n",
    "* category level 0-4\n",
    "* time features: hour, minute, weekday, day, month, year"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.37005540753884175"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.target.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "cart        0.629945\n",
       "purchase    0.370055\n",
       "Name: event_type, dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['event_type'].value_counts(normalize=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Around 37.0% of datapoints are purchases. Lets take a look on the sparsity of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# of datapoints:(16695562, 19)\n",
      "# of unique users:(3584800,)\n",
      "# of unique products:(214907,)\n",
      "# of unique sessions:(10715053,)\n"
     ]
    }
   ],
   "source": [
    "print('# of datapoints:' + str(df.shape))\n",
    "print('# of unique users:' + str(df['user_id'].drop_duplicates().shape))\n",
    "print('# of unique products:' + str(df['product_id'].drop_duplicates().shape))\n",
    "print('# of unique sessions:' + str(df['user_session'].drop_duplicates().shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the beginning, we should do some Exploratory Data Analysis (EDA) to get some understanding and feeling for the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_sparse(df, col):\n",
    "    stats = df[[col, 'target']].groupby(col).agg(['count', 'mean', 'sum'])\n",
    "    stats = stats.reset_index()\n",
    "    stats.columns = [col, 'count', 'mean', 'sum']\n",
    "    stats_sort = stats['count'].value_counts().reset_index()\n",
    "    stats_sort = stats_sort.sort_values('index')\n",
    "    plt.figure(figsize=(15,4))\n",
    "    plt.bar(stats_sort['index'].astype(str).values[0:20], stats_sort['count'].values[0:20])\n",
    "    plt.title('Frequency of ' + str(col))\n",
    "    plt.xlabel('Number frequency')\n",
    "    plt.ylabel('Frequency')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'product_id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'user_id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'brand')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'cat_0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'cat_1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sparse(df, 'cat_2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can observe following pattern:\n",
    "<li> There are ~45000 products which appear only once in the dataset\n",
    "<li> There are 1200000 users which appear only once in the dataset\n",
    "<li> There are 350 brands which appears only once in the dataset\n",
    "<li> There are 0 cat0, 0 cat1 and 0 cat2 which appear only once in the dataset<br>\n",
    "    \n",
    "The sparsity is important for understanding which features can be better used in a model. Product_id and User_id have many values which appear only once and the model is less able to learn a good patterns from them.<br>\n",
    "On the other hand, brands, cat1, cat2 and cat3 have many observations and can be leveraged for prediction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_top20(df, col):\n",
    "    stats = df[[col, 'target']].groupby(col).agg(['count', 'mean', 'sum'])\n",
    "    stats = stats.reset_index()\n",
    "    stats.columns = [col, 'count', 'mean', 'sum']\n",
    "    stats = stats.sort_values('count', ascending=False)\n",
    "    fig, ax1 = plt.subplots(figsize=(15,4))\n",
    "    ax2 = ax1.twinx()\n",
    "    ax1.bar(stats[col].astype(str).values[0:20], stats['count'].values[0:20])\n",
    "    ax1.set_xticklabels(stats[col].astype(str).values[0:20], rotation='vertical')\n",
    "    ax2.plot(stats['mean'].values[0:20], color='red')\n",
    "    ax2.set_ylim(0,1)\n",
    "    ax2.set_ylabel('Mean Target')\n",
    "    ax1.set_ylabel('Frequency')\n",
    "    ax1.set_xlabel(col)\n",
    "    ax1.set_title('Top20 ' + col + 's based on frequency')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'product_id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'user_id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'brand')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'cat_0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'cat_1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TWFbSUpK6kxrsPNjgOp8DWwJIWhGYDfimFsE4mTQzMzMzM2sHImIycBTwOPBvUtfWQZLOlrRzdrXjgcMkvQPcARwcEVGLeFzmamZmZmZm1k5ExKPAow22nV72+/vARm0RS81HJiV1zRbMfLjWj2VmZmZmZmZtoy3KXI8hDcGamZmZmZlZB1HTZFLSYsAOwHW1fBwzMzMzMzNrW7UembwEOBGYWuPHMTMzMzMzszZUs2RS0o7AsIjoN4PrHV5akHPy5Mm1CsfMzMzMzMxaUS1HJjcCdpY0GLgT2ELSrQ2vFBHXRETfiOjbrZuby5qZmZmZmbUHNUsmI+LkiFgsIpYkLab5TETsX6vHMzMzMzMzs7bTFt1czczMzMzMrINpk7rSiHgOeK4tHsvMzMzMzMxqzyOTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmnZCkWSvZ1hQnk2ZmZmZmZp3TqxVua1S3VgzEzMzMzMzMCk7SQsCiQA9JawLKLuoNzF7p/TiZNDMzMzMz61y2AQ4GFgMuLts+Cjil0jtxMmlmZmZmZtZOSNoW+BvQFbguIs5v5Dp7AmcCAbwTEfuWXx4RNwE3SdotIu5raSxOJs3MzMzMzNoBSV2By4GtgSHAm5IejIj3y66zLHAysFFEfC9pgWbu8mVJ1wOLRMR2klYCNoiI6yuJp6IGPJJWreR6ZmZmZmZmVjPrAh9FxCcRMRG4E9ilwXUOAy6PiO8BImJYM/d3I/A4sEh2/kPg2EqDqbSb6xWS3pD0a0lzVnrnZmZmZmZm1moWBb4oOz8k21ZuOWA5SS9Lei0ri23KfBFxNzAVICImA1MqDaaiZDIiNgH2A/oA/STdLmnrSh/EzMzMzMzMKtJN0ltlp8OrvT2wLLAZsA9wraS5mrjuWEnzkuZWIml9YGQ1D1SRiPivpD8AbwH/B6wpScApEXF/pfdjZmZmZmZmTZocEX2buGwoaYCvZLFsW7khwOsRMQn4VNKHpOTyzUbu7zjgQWBpSS8D8wO7VxpopXMmV5P0V+DfwBbAThGxYvb7Xyt9MDMzMzMzM2uxN4FlJS0lqTuwNykZLPcP0qgkkuYjlb1+0tidRUR/4MfAhsAvgZUjYmClwVQ6MnkpcB1pFHJ82YN/mY1WTkfSbMALwKzZ49wbEWdUGpiZmZmZmZnViYjJko4iNc3pCtwQEYMknQ28FREPZpf9RNL7pPmPJ0TE8MbuT9LPGmxaTtJI4N0ZNO5Jt4+IGQYtaQ5gfERMyc53AWaLiHHN3EZAz4gYI2kW4CXgmIh4ranb9OzZM8aOHTvDeNrakic9ksvjDj5/h1we18zMzMzM8iFpXET0bKPHegTYAHg227QZ0A9YCjg7Im5p7vaVdnN9CuhRdn72bFuTIhmTnZ0lO804czUzMzMzM7O20A1YMSJ2i4jdgJVIOdt6wO9ndONKk8nZyhJDst9nn9GNJHWVNAAYBjwZEa9X+HhmZmZmZmZWW30i4uuy88Oybd8Bk2Z040qTybGS1iqdkbQ2ML6Z6wMQEVMiYg1Sl6F1Ja3S8DqSDi+1vZ08eXKF4ZiZmZmZmdlMek7Sw5IOknQQ8M9sW09gxIxuXGkDnmOBeyR9CQhYCNir0ggjYoSkZ4FtgfcaXHYNcA2kOZOV3qeZmZmZmZm1XET8WtJuwMbZppuB+yI11tl8RrevKJmMiDclrQAsn236IFu3pEmS5gcmZYlkD2Br4IJKHs/MzMzMzMxqR1JXYFBErADc15L7qHRkEmAdYMnsNmtJIiJubub6CwM3ZUF2Ae6OiIdbEqSZmZmZmZm1noiYIukDSYtHxOctuY+KkklJtwBLAwNIa5VA6vLTZDKZLXa5ZkuCMjMzMzMzs5qbGxgk6Q1g2hqNEbFzJTeudGSyL7BSVLIopZmZmZmZmbUHp83MjStNJt8jNd35amYezMzMzMzMzIohIp6fmdtXmkzOB7yfDX9OKHvwioY/zczMzMzMrFgkrQ9cCqwIdAe6AmMjonclt680mTyzRdGZmZmZmZlZUV0G7A3cQ5raeCCwXKU37lLJlbLhz8HALNnvbwL9q43UzMzMzMzMiiMiPgK6RsSUiLgR2LbS21aUTEo6DLgXuDrbtCjwjyrjNDMzMzMzs5xJ+ln26zhJ3YEBki6U9FsqzBGp4opHAhsBowAi4r/AAlXEa2ZmZmZmZsXwh+znAaR5kkeRlgbpA+xW6Z1UOmdyQkRMlASApG6kdSbNzMzMzMysHYqIz7JfxwNnVXv7SpPJ5yWdAvSQtDXwa+Chah/MzMzMzCwXEXDGGbDMMnDggXlHY5a3FSQNbOrCiFitkjupNJk8CTgUeBf4JfAocF2FtzUzMzMzy9fll8M556Tfv/wSTjop33jM8vUpsNPM3klFyWRETAWuzU5mZmZmZu1Hv35w/PGwww7QuzecfDKMHAl//CNk07jMOpmJZSWuLVZRMinpUxqZIxkRP5rZAMzMzMzMambkSNhzT1hwQbjpJphrrpRQnn9+uuyyy6BLxc0rzTqKl1vjTiotc+1b9vtswB7APK0RgJmZmZlZTUTAL34Bn30GL7wA886btl95Jcw5J1x4IYwaBTfeCLPMkm+sZm0oIo5qjfuptMx1eINNl0jqB5zeGkGYmZmZmbW6K66Ae+9NSeOGG9Ztl9LI5JxzwqmnwpgxcOedMNts+cVq1g5VWua6VtnZLqSRykpHNc3MzMzM2lb//nDccbD99mm+ZEMSnHJKKnk9+mjYcUf4xz9gjjnaPFSz9qrShPAvZb9PBgYDe7Z6NGZmZmZmM2vUqDRPcoEF0jzJ5uZEHnVUSigPOQS23hoefRTmnrvtYjXLmaQNgSUpyw0j4uZKbltpmevmLYrMzMzMrL0bMgQWXdRdP9uLCDjsMBg8GJ5/Huabb8a3OfBA6NUL9t4bNtsMHn8cFlqo1pGa5U7SLcDSwABgSrY5gNZLJiUd19zlEXFxJfdjZmZm1m6MG5fKJK++GrbdFq6/HhZZJO+obEauugruvjvNidxoo8pvt+uu8PDD8NOfwiabwFNPwRJL1CxMs4LoC6wUEdOt3FGJSvsg9wWOABbNTr8C1gJ6ZSczMzOzjmPgQFhnnZRI7rlnGuFaddXUzMWK6+234be/he22gxNOqP72W28NTz4J33yTEsoPPmj9GM2K5T2gxcPwlSaTiwFrRcTxEXE8sDaweEScFRFntfTBO7rFRn7NrJMn5h2GmZmZVSoCLr0U1l0XvvsOnngC7rorJSlLLw177JFKIkeOzDtSa6g0T3K++WY8T7I5G24Izz0HEyakhHLAgNaM0qxo5gPel/S4pAdLp0pvXGkDngWB8qxoYrbNmvGXhy9m2eFfcNdqP+HWNbdn6JwL5B2SmZmZNeWbb1ITlocfhh12SGsPzj9/umz55eHll+G88+Dcc1OycfPNaX6d5S8CDj8cPv0Unn227nVrqTXWgBdfhK22Sq/xo4/WX1rErOM4c2ZuXOkhm5uBNySdKelM4HXgppl54M7gko335fU+q3D4G/fzwtW/4Jr7z2WjwQPSB56ZmZkVx9NPw+qrp5HIv/0NHnpo+oRkllngzDNTUjnbbLDFFmnJiR9+yCVkK3PNNWkE+Zxz0mhia1huOXjppdQRtlT+atbBRMTzjZ0qvb0qnWuZrTVZ+u98ISLebkG8zerZs2eMHTu2te92pi150iMzdftFRg1j3wGPsc+Ax5h3/Cg+mmcxbl5rB+5fZUvGzDp7k7cbfP4OM/W4ZmZmNgOTJsFpp6VF7ZdfPi1cv/rqM77d2LFpTt6VV8LKK8Ott6bRLGt7AwbA+uvXjSC2tLy1KV9/DT/5CfznP+n9seuurXv/Zg1IGhcRPdvosdYHLgVWBLoDXYGxEdG7ottXkUxuDCwbETdKmh+YIyI+bVnYjeuoyWTJrJMnsv1/XuKg/g+zxlcfMqZ7D+5bZQtuXnNHPp6vz3TXdzJpZmZWQx9/DPvsA2++mUok//pXmL3pg7yN+te/Umns8OFpVOx3v4OuXWsTr01v9GhYe+2U3L/9dhpFrIXvv4ftt0/vlRtuSPNmzWqkjZPJt4C9gXtITVcPBJaLiJMrun0lyaSkM7I7Xz4ilpO0CHBPRFTRb3nGOnoyWW61rz7kwP6PsNO/X2DWKZN4eYnVuHmtHXlqmfWY0iV9CTmZNDMzq5FbboFf/xq6dYPrroPddmv5fQ0fDr/8Jdx3H2y8cWr+8qMftV6s1rgI2G+/VN767LOw6aa1fbwxY9KyIU8/DZddBkceWdvHs06rrZPJiOgraWBErJZtezsi1qzk9pXWAewK7AyMBYiIL/GSIDNl4MLL8bsdfssGv/47F/z4IJb87iuufuCPvHDVL/j1q3czzzh3iTMzM2t1o0bB/vunkaU114R33pm5RBJg3nnhnntSQ56BA1OZ7A03uEdCrV13HdxxB5x9du0TSYA55kjNmXbZBY46Cv74R7/G1hGMk9QdGCDpQkm/pfIcseKRyTciYl1J/SNiLUk9gVdL2Wtr6Uwjkw11nTqFLT96gwP7P8zGn73DhK7dmHW/fdOH1Trr1PzxzawAxo+HqVOhZ5scjDTrfF5/HfbdFwYPhjPOgFNPbf2S1M8/h4MOSt1ed9klNYapVellZzZwIKy3Xmq289hjrT9PsjmTJqXS5ltvhRNPhPPPB6ntHt86vDYemVwC+Jo0X/K3wJzAFRHxUSW3r/Q/725JVwNzSToMeAq4tgXxWhOmdOnKE8ttwP57n8eWh17JnatvA/ffn9a5Wm+9VI7jbnFmHdOECXDxxbDooql75IEHpgXSfcTbrHVMnZp2+DfeGCZPhhdegNNPr83cxsUXT2WQf/lLmk+56qrwYMVLtlklRo9O633OPXdK6NoykYTU1femm1KZ9IUXwhFHwJQpbRuDWSuJiM8AAQtHxFkRcVyliSRUkExKEnAXcC9wH7A8cHpEXNrCmG0GPp6vD2dsfQQMHZpq8keNSjuXiy8Op5ySjnqaWfs3dWoq0VphhbS8wLrrpv/1f/4zdSVcdtlURjV0aN6RmrVfX36ZlnU4+WT42c9SWetGrdryYXpdusBxx0G/frDwwmmE8rDDUhJkMyciJW8ffQS3357fqG+XLmkf7eST4eqr4YAD0oilWRuQtK2kDyR9JOmkZq63m6SQ1LeZ6+wEDAAey86vIaniI2AzTCYj1cE+GhFPRsQJEfG7iPBCO22hd+80ufv99+Gpp9KX3wUXwFJLpS/EZ57xyIVZe/Xcc6nqYN99Yc4509p2jz0GV10FX32V5l716ZPK8BZfPC2gfv/9MHFi3pGbtR8PPQSrrQavvQbXX5+WdZhrrrZ7/FVWSaW1J52UHn+NNdIaldZyN9wAt92W1vvcbLN8Y5HSAb/zz08HBn/2szRdwayGJHUFLge2A1YC9pG0UiPX6wUcA7w+g7s8E1gXGAEQEQOApSqNp9K6gP6SPHEvLxJsuSU88AB88kmqz3/hhbRt5ZXhiit8tNOsvRg0CHbaCTbfPK1ddtNN0L9/GjkpmX32dJT72Wfhv/9NO6IDBqQmIYstlpYeeP/93P4Es8IbPz71HNh553RQpn//NMctj3lts84Kf/pTKl2fOjU1ijn1VB8Yaol3302v61ZbpUqtovj979O+2COPpAN/3iez2loX+CgiPomIicCdwC6NXO8c4AJgRvPkJkVEw86fFY9WVZpMrge8JuljSQMlvStpYKUPYq1oiSXSl9KQIfD3v6dGHUcemeZa/eY3aUFdMyueL79MZW6rrZYOBp1/PnzwQSprbW6+zzLLwHnnwWefpR2VTTaBv/0tHUjaYIPUzdA7LmZ1Bg1KJeOXXw6//W0alVx++byjSv+7AwfCz3+eRrPWXz/FapUZMwb23DONLN96a/HW8jziiNTfonSwf/jwvCOyjmtR4Iuy80OybdNIWgvoExGVdBEdJGlfoKukZSVdCrxSaTDNJpOSFs9+3Qb4EbAFsBOwY/azudv2kfSspPclDZJ0TKVBWQVmmy11i3vzzVRC89Ofppr9FVdMIxz//Gf7mAw+ZkxaNPrll9P6XFdemcqSvHNsHcXo0anRx7LLplHI3/wmved//3vo0aPy++nWLS2Yfd99aQ7ln/8MI0emBHWhhdIO6ksvufTdOq+IVCbety8MG5aa31x8cRoZLIpevdIBoH/8Ix0UXnttuOSSNGJpTSvNk/zwwzRPcsEF846ocfvtl6rIBg5MJbhffZV3RNZ+dZP0Vtnp8EpvKKkLcDFwfIU3ORpYGZgA3AGMAo6t+PGaWxqktBRI9vt9EVHxQkySFiZ1Beqf1ez2A34aEU3WZnXmpUEaM/j8Haq7wbBh6UvqyivTl9QSS6QP30MPhfnmq02QjRk/PpXv/e9/dT/Lfy//2dTr3a1bmk+29dapnGXddVP3NLP2YtKk9P945pnpf3OvvdII49JLt95jRKSDSaW5YGPGwHLLpXK+gw5KSaa1XET6PBs9Op1Gjar7veGpsct69UrNOTbeOO+/pOMbPhx+8YuUpG2zTTpwU9SEo+Trr9PBoIcegi22SNVGffrkHVUx3XBD2pc588y0pEvRPfNMKrFeaKHU82LJJfOOyNqZ5pYGkbQBcGZEbJOdPxkgIv6UnZ8T+BgYk91kIeA7YOeIeKvVY51BMvl2RKzZ8PcWPZD0T+Cy5pr3OJmsr+pksmTy5NSG/LLL0pyrWWeFffZJ8wzWXrtl9zlhQtohbiopLE8YR41q/D7mnTd9sC64YPpZ/nvp5/zzp9K/J59MH8BvvZV26Hr1Skf5ttoqJZgrrOA1nayYIlJlwEknpffyJpvARRelgyO1NGYM3HtvSixfeimVgO2wQ9oB2267znMwZvLk9FxUm/g1dtmYMZVXePTsmZqm9epVd/rww1TevOuuqax5ueVq+7d3Vs89B/vvn76jzj8fjj227ZeKaKmI9D977LHpIOrll6emXP5+q/Pee+mA8gYbpEZlRStvbcrrr6fP3tlnT/szK6yQd0TWjswgmewGfAhsCQwF3gT2jYhG6+YlPQf8rmEiOaOOrRGxc0WxVjEyOe33aklaEngBWCUimsg0nEw21OJkstygQenL6eab0yjg+uunOZZ77JE+kGeUIJZ+fv994/c/11yNJ4UNE8YFFmjZzux336WEuJRcfvxx2r7ooimxLJ08AmNF8NprcMIJKZlbYYXUfXmnndp+x/CDD9KR/JtuSv/DCy2U5mYeckgx5o61VEQqGxs0KJ3eey81Iho2rC4BrLSTYrdu0yd/5aemLmts+xxzNJ68jBsHf/1rSnB++AF+9atU8jz//K37vHRWkybBWWel+YfLLpu6aa7Vot2U/H38cfoffeWVNC/wyithnnnyjip/Y8fCOuukfYEBA9rfd/3AgfCTn6SDUo8/3n7fn9bmmksms8u3By4BugI3RMR5ks4G3oqIBxtc9zkaTya/Ic29vIPU8bXezkpEPF9RrDNIJqcAY7M77wGMK12UHiN6z/ABpDmA54HzIuL+Ri4/HDgcoHv37mtPmDChkrjbVLtOJktGjkwJ5WWXpaPls82WRhsbe/179ZpxcrjQQilBnG221ouxEp9+mpLKp55Ki0KXJrivskrdqOWmm6adO7O28tFHqZzx3nvT/8dZZ6URwW7d8o1r0qQ0b+z661PznilT0hJDhx6aDigV9f8kIiWIpaSxlDgOGgQjRtRdb775UiOiRRapPjGcdda2S/K//jq9J665Jo1gnnwyHHNMdXNmrb5PP00jeK+9luYL/9//Fff9XKkpU+DCC9MBhwUWSAeEttkm76jydfDBad/lySdTU5v26KOP0v7J99+nz2GXvVsFZpRMttJjdAW2BvYBVgMeAe5oaoSzyftpLpmcWZJmAR4GHo+Ii2d0fY9M1teqyWTJ1KkpCXvkkcZHFRdcMO3stAdTp6YjlaVRyxdfTAnyLLOkcpjSqOU66+S/U28d07ffwtlnp1GEWWdNo5LHH1/MndqvvkqdBq+/Ph1QmmMO2HvvNFq5/vr5ldV9+239pLF0+vbbuuvMPXdKGstPq6yS32LlLfWf/6TGSw8+mObGnXdeatjRXkoyi+KOO9IoL6QEfa+98o2ntb39dirbff/9VEl04YWpVLKz+fvf04GCM85IcyXbsy++SAe7P/88Nejp7AcJbIbaIpls8HizkpLKi4CzIuKyim9bq2RSkoCbgO8i4thKbuNksr6aJJMd2fjxqSvsU0+lBPPtt9MIR+/eaU2/UjOf5ZZrv/NRIlK5zxdf1J2GDk2JzDzzpNPcc9f9Ps886aBBe5lj0l6MH586MJ5/firD+sUv0g7PwgvnHdmMRaT/k+uvh7vvTqWYK66YRisPOKB2CdqIEfVHGEunr7+uu06vXilJbJg4Lrxw+/2fbczzz6e1Qt96K5W9XXRRasBizRszBo4+OiUZG2yQunp21MYm48endRQvuSR9Z916azow2lkMGpT+3vXXT9/nHeE7bNiwlEQOGpQOiOxWcU9L64TaKpnMksgdSInkksCDpLLZoRXfRw2TyY2BF4F3gVLP61Mi4tGmbuNksj4nkzPp229TR7VScjl4cNrep0/dqOWWWxar49/o0fUTxdLp88/TzyFD0s5/ua5dZ9wkZK656ieYjZ0aJqHzzAPdu9fsT22XpkxJo3unnZZei513TgnliivmHVnLjB4Nd92VEsvXXksj+DvtlBLLbbZp2Yj+qFFpRKVheeqXX9Zdp2dPWGmluhHGUtK42GIdK2lsztSpqQPvKaekNUR32CGNQK20Ut6RFVO/fqmR3Mcfw6mnplLQzlBx8vTTqdTzq6/S33zKKR3/7x47NjXc+fbbVH3UHg7SVWrECNhxR3j11fS5e/DBeUdkBdVGZa43A6sAjwJ3RsR7LbqfWpa5VsvJZH1OJltRBHzySV1i+cwzdU2FVlutbtRyk01qV+b7ww8pAWkuWRw5sv5tpPRFuvjiKQlu7LTggmnHdMSINGpZ6en779PP5tY369mzZUno7LN3vKTg8cfhxBNTQ4V1102jSZtumndUref999McrZtvhm++SfMQDz44lZkts8z01x87tn7SWEocvyhbR7lHj5RoNyxPXXxxl3aW/PADXHppKnkdPTqNcp91VvtrNFIrU6emtSJPOSV91t12W8f6v6vEiBGpG/ttt6XPnltu6didgQ85JI0+P/FE+l7uaMaOhZ/9LP19l1yS5k+bNdBGyeRUUm8cgPKEsOLeOOBksiJOJjugKVOgf/+65PLll2HixDQSt+GGdc181l67svKayZPTyEtjiWLpNGzY9Lebb776iWHDpHGRRWq7pMPUqWkHttokdPjw9Hw1pXv3lFQuskhKHlZdte7U3koWBwxISeSTT8KPfgR/+lNqXtOe/oZqTJwIDz+cjpo/9lh6j/z4x2l5i/JOqp9+Wneb7t2nTxpXXhmWWqpjlKe1heHD4ZxzUvftWWdN77njj28/c9hr4X//S+ulPvFE2vm+9trO3eH07rvTXNEJE+DPf06/d7TPoZtuSgexTjstzUfvqCZMSA2k7r8/HTw67bSO91raTGnrOZMzw8lkBZxMdgLjxqUGPqVOsQMGpO1zzVU333L11dPOTWOJ4pdfTj/C17t34yOJpYRxscXabzfH0mLuM0o8P/8c3n23fonjPPOk0eDyBHOVVYrXtObzz+EPf0hzleaeO5WY/epXaUe/sxg6NO3c3XBDKi+cZZY0ItJwXuPSS3f80ru2Ut4ZeOGFU4J58MGdLyl/9NH0d48Zk5ZXOfxw72xD+p885JCUYG+3XTro01HKQN9/P82TXGedVN7b0d/zkyenSoSbboLjjksHCPwet4yTyRZyMlmfk8kcDRuWSmGffDKdykv3IC2J0lTZaek055z5xF5Ew4enpLL89N57aUexZKmlpk8yl1227ZOUESPS6OPf/pbOH3ssnHRSOrDQWU2dmv4Haj1SbnVeeSU16Xn11ZS8X3RRmsfa0Xc2J0xI/2+XXJI+A+680/NIG4qAK65I3aN79Ejvjf32a98HusaNSyW8w4alg7mLLJJ3RG1j6tT0HXPppSmxvOqqjp9EW0WcTLaQk8n6nEwWREQaLfjgg/QF16dPKk/t6Dt1tTZ1amqK1DDJ/PDDuoZCs86ayicbJpm1KJWdMCEt8XHOOamU94AD0u+LL966j2NWqQi4776UXH38cSq/v+giWGONvCNrfePGwUsvpaVTBgxIXVsvvLDt1zJuTz74AA48EN54A+afPyUjv/pV+/zMOvRQuPHGVFr/k5/kHU3bikjdwM85J/3tG26Y9jHmnTedyn/viP0IrFFOJlvIyWR9TiatU/rhB/j3v6dPMhuWyq66av0ks6WlshFpLtLJJ6d5gFtvnXZiO+IOu7VPEyemAx1nn50OdBx0UNrxXGyxvCNruYkT4fXXUwXIs8+mEdiJE9OO8403po6XNmMRqST08svT+qWQukwfdVRabqY9JB633JKS4lNPhXPPzTua/FxySfq//u67pq8z22yNJ5mN/V762bt3+3gfWD1OJlvIyWR9TibNylRaKtswyWyuVPaFF1Ip4ZtvpttcdFHnOypu7ceIEfDHP6YS7K5d0zyrE09MO4tFN3lyanr2zDPp9PLLaTRSSmttbrFFmp++ySbFmz/dXnz2WSqTvO66tKzGCivAkUemRK2o75H//Af69k3N7p5+2nOvASZNSgnl8OHp9O23M/69uc7s3brVJZqVJKHzzpv6BLjcNldOJlvIyWR9TibNZmDq1LQDNXDgjEtlS8nlaqul+Y/nnQcPPZRGd849F/bf31+e1j4MHpxGcW6/PZU3nnVWKnEs0nzWqVPT/+Wzz6bk8YUX0hqkkKoIttginTbdNO24Wuv54YdUbXH55akEdo45UkJ55JHFmn86bhyst15qbDdgACy6aN4RtV+l5cHKk8xKktBJkxq/Pyn9X5YnmT16pM7d3bunz5ryn5Vuq/b6pd874VJSTiZbyMlkfU4mzVrohx/SEe+GSWZ5qWzv3qm09Zhj2m9XXevc3norjaw//zwsv3wqz95pp3xK2iLS/1ypbPW559LOKqQOwJtvnpLHzTaDBRZo+/g6qzffTEnlnXemeeGbb55KYHfeOf9RwMMOS6Oojz2WmktZ24pIS4NVOgL6ww+pFH3SpPSz4e+11LVr00nnggum+dYdjJPJFnIyWZ+TSbNWNnx4Ko0dPBh22CEdcTVrzyLSCPuJJ6aGLJtumpYYWGed2j/uJ5/UjTw++2waYYLUAGbLLVPisvnm7XtuZ0fx7bdpGZErrkjLHi22WGrWc9hh+ST3t92WqkFOPjmVblv7FpGqgcoTzIY/K91W7fV79kxr0HYwTiZbyMlkfU4mzcysIpMmpVGeM86Ab75JC6Kfdx4suWTrPcaQIXWJ4zPPpKQEYKGF6spWN988zV12w49imjIFHn44jVY++WQa3dljjzRaud56bfO6ffBBmiO55prpvZT3CKlZATmZbCEnk/U5mTQzs6qMGpXKXS++OCUOxxwDp5zSsnVShw2rP/L43/+m7fPOm8pVSwnk8ss7eWyPPvggjVT+/e/pfbPWWimp3Hvv2pX+jx+fktYvv0zzJD1qbdYoJ5Mt5GSyPieTZmbWIkOGwGmnwU03pUYap58ORxyRRqKa8v33af5lqePqoEFpe+/e8OMf1817XHXVTtkQo8MaMwZuvRUuuyy95vPMk9Z9POKINMrcmn75S7jmGnj0Udhuu9a9b7MOxMlkCzmZrM/JpJmZzZR33klNep56CpZeGs4/H3bbLY0kjh4NL75YN/r49ttp7lOPHmmJjlLZ6lpruRSxM4hIXXcvuwweeCB1CN1hh9QF9ic/mfkDCHfckcqvf//79D40syY5mWwhJ5P1OZk0M7OZFgGPPw4nnJAaUK27buqO+MYbqRS2e3fYYIO6stV1121+BNM6viFD0gjiNdfA11/DMsvAr38NP/95y0qmP/wwzZNcffV08KJIy9iYFZCTyRZyMlmfk0kzM2s1U6ak+XEXXJDmPZaSxw039PI41riJE+G++9Jo5SuvwOyzpy6sRx6Z1uytxA8/wPrrwxdfpHmSffrUNGSzjsDJZAs5mazPyaSZmZkVwttvpy6wt9+eGulssklKKn/2s+ZHGo84Aq66KnWR3cH7NWaVaE/JpGfQm5mZmVnz1lwzLT8zZEhay3To0NT5dYkl4MwzU4fWhu66KyWSJ57oRNKsg3IyaWZmZmaVmWceOP74tFTMI4/AGmvA2WenpHLvvVNTp4h0+WGHpTLqc8/NO2ozqxG3ZzMzMzOz6nTpAttvn04ffQRXXgk33JBGI1dbLc23nGWW1MXVDXfMOiyPTJqZmZlZyy2zDPzlL6n09dprU6L54YdpndPFF887OjOrIY9MmpmZmdnMm312+MUv4NBDYcQImHvuvCMysxrzyKSZmZmZtR7JiaRZJ+Fk0szMzMzMzKrmZNLMzMzMzMyq5mTSzMzMzMzMquZk0szMzMzMzKrmZNLMzMzMzMyq5mTSzMzMzMzMquZk0szMzMzMzKrmZNLMzMzMzMyq5mTSzMzMzMysnZC0raQPJH0k6aRGLj9O0vuSBkp6WtIStYrFyaSZmZmZmVk7IKkrcDmwHbASsI+klRpc7W2gb0SsBtwLXFireJxMmpmZmZmZtQ/rAh9FxCcRMRG4E9il/AoR8WxEjMvOvgYsVqtgapZMSrpB0jBJ79XqMczMzMzMzDqRRYEvys4PybY15VDgX7UKppYjk38Htq3h/ZuZmZmZmXU03SS9VXY6vCV3Iml/oC9wUeuGV6dbre44Il6QtGSt7t/MzMzMzKwDmhwRfZu4bCjQp+z8Ytm2eiRtBZwK/DgiJrR+iEnucyYlHV7KuidPnpx3OGZmZmZmZkX1JrCspKUkdQf2Bh4sv4KkNYGrgZ0jYlgtg8k9mYyIayKib0T07datZgOlZmZmZmZm7VpETAaOAh4H/g3cHRGDJJ0taefsahcBcwD3SBog6cEm7m6mOXszMzMzMzNrJyLiUeDRBttOL/t9q7aKJfeRSTMzMzMzM2t/ark0yB3Aq8DykoZIOrRWj2VmZmZmZmZtq5bdXPep1X2bmZmZmZlZvlzmamZmZmZmZlVzMmlmZmZmZmZVczJpZmZmZmZmVXMyaWZmZmZmZlVzMmlmZmZmZmZVczJpZmZmZmZmVXMyaWZmZmZmZlVzMmlmZmZmZmZVczJpZmZmZmZmVXMyaWZmZmZmZlVzMmlmZmZmZmZVczJpZmZmZmZmVXMyaWZmZmZmZlVzMmlmZmZmZmZVczJpZmZmZmZmVeuWdwDWckue9Ehujz34/B1ye2wzMzMzM8ufk0lrdU5yzczMzMw6Ppe5mpmZmZmZWdWcTJqZmZmZmVnVnEyamZmZmZlZ1ZxMmpmZmZmZWdXcgMc6FTcHMjMzMzNrHU4mzQrASa6ZmZmZtTcuczUzMzMzM7OqeWTSzJrlUVMzMzMza4xHJs3MzMzMzKxqTibNzMzMzMysak4mzczMzMzMrGqeM2lm7ZLncpqZmZnly8mkmVkryyvRnVGS6wTczMzMWpOTSTMzy5WTXDMzs/bJyaSZmVkTiproFjUuKHZsZmbWumqaTEraFvgb0BW4LiLOr+XjmZmZmTWmyEmuS+On54Mp1fNzVr32egBqRjmWpFmBm4G1geHAXhExuBax1Kybq6SuwOXAdsBKwD6SVqrV45mZmZmZmXVkFeZYhwLfR8QywF+BC2oVTy2XBlkX+CgiPomIicCdwC41fDwzMzMzM7OOrJIcaxfgpuz3e4EtJakWwdQymVwU+KLs/JBsm5mZmZmZmVWvkhxr2nUiYjIwEpi3FsEoImpxv0jaHdg2In6RnT8AWC8ijmpwvcOBw7OzawHjaxJQfroBk/MOohFFjQuKG1tR44LixlbUuKC4sTmu6hU1tqLGBcWNrahxQXFjc1zVK2psRY0LihtbUeOaWT2A/mXnr4mIa6CyHEvSe9l1hmTnP86u821rB1rLBjxDgT5l5xfLttWTPTHX1DCOXEl6KyL65h1HQ0WNC4obW1HjguLGVtS4oLixOa7qFTW2osYFxY2tqHFBcWNzXNUramxFjQuKG1tR46qxSnKs0nWGSOoGzElqxNPqalnm+iawrKSlJHUH9gYerOHjmZmZmZmZdWSV5FgPAgdlv+8OPBM1Kket2chkREyWdBTwOKlt7Q0RMahWj2dmZmZmZtaRNZVjSTobeCsiHgSuB26R9BHwHSnhrImarjMZEY8Cj9byMdqBopbwFjUuKG5sRY0LihtbUeOC4sbmuKpX1NiKGhcUN7aixgXFjc1xVa+osRU1LihubEWNq6Yay7Ei4vSy338A9miLWGrWgMfMzMzMzMw6rlrOmTQzMzMzM7MOysmkmZmZmZmZVc3JZA1IWqqSbda+SOoiqXfecRSZkj4zvmbbk/QzSbPmHUdDkrpKui3vOMysPknTzTdqbFtby76LNsw7jvYke872zDuOhvxaWkfgZLI27mtk271tHkUD2Y7+/pJOz84vLmndAsTVVdJ/8o6jMZJul9RbUk/gPeB9SSfkHVdJFts8pVPe8WRtp4vadGsn4ENJt0jaMVt3KXcRMQVYImvvXSiSjsneY5J0vaT+kn5SgLh6SuqS/b6cpJ0lzZJ3XACSbqlkW1uTNLuk0yRdm51fVtKOeccFIGmj7DOW7DvqYklL5B0XcHKF29pUREwFLs87joaK/F2ePWcn5h1HQ0V9LQEkzSppX0mnSDq9dMo5pnclDWzqlGdsnVkhdqY6CkkrACsDc0r6WdlFvYHZ8omqniuAqcAWwNnAaFLiu06eQUXEFEkfSFo8Ij7PM5ZGrBQRoyTtB/wLOAnoB1yUZ1CSfgmcBfwAlLpoBfCj3IKq01/SOhHxZt6BlIuIn2cJx3bAPsDlkp6MiF/kHBrAJ8DLkh4ExpY2RsTF+YUEwCER8TdJ2wBzAwcAtwBP5BsWLwCbSJo7i+VNYC9gv1yjSlYuPyOpK7B2TrGUu5H02bVBdn4ocA/wcG4R1bkSWF3S6sDxwHXAzcCP8whG0nbA9sCikv6v7KLewOQ8YmrE05J2A+6v1dpx1Sr4dznAU5J+B9xF/c/Z7/ILCSjga5n5JzCS9LkxIedYSkoHwI7MfpYO1BXhs7/TcjLZupYnvdHnIo2ClIwGDssjoAbWi4i1JL0NEBHfF2g0ZG5gkKQ3qP8hv3N+IQEwS5aA/BS4LCImSSrCh/3vgFUi4tu8A2nEesB+kj4jvZYiDVqulm9YkL1+/yIl3j2AXYEiJJMfZ6cuQK+cYymn7Of2wC3ZOlZq7gZtRBExTtKhwBURcaGkAbkGJJ0MnAL0kDSKuuduIsVoXb90ROwlaR+A7PkrwmsJMDkiQtIupM/Z67PXNi9fAm8BO5N2pEtGA7/NJaLp/RI4DpgiaTx1n7N5T8Uo6nc5pANOUJeIQDEOwhb1tVwsIrbNOYZ6IuIzAElbR8SaZRedJKk/6YC/tTEnk60oIv4J/FPSBhHxat7xNGJSdpQ8ACTNTxqpLILT8g6gCVcBg4F3gBey0qtRuUaUfAyMyzuIJmyTdwCNyUYb9gI2A54jjX4UYg5NRJwFqRQxIor0uvaT9ASwFHCypF4U4zNDkjYgHY0uJR1dc4yHiPgT8CdJf4qI3EshGzFRUg/qPv+XpjijDaOzZHx/YNOshDm3suWIeAd4R9LtpP2kxSPig7ziaUxEFOmgU7mifpcTEYXsXVHg1/IVSatGxLt5B9IISdooIl7OzmyIp+7lxutM1kCWpB0GLElZwh4Rh+QVE0BWqrkXsBZwE7A78IeIuCfPuEqyRG3ZiHhK0uxA14gYnWM8XYDdI+Lusm3K4sq11EnSmqSytdcp2yGMiN/kFlQZSRuTXssbs/+HOSLi05xjugu4A/hXREzItl0QEb/PM64sjg2A60nP0+JZud8vI+LXOcfVBVgD+CQiRkiaF1g0InKdmyJpU9Lo/MsRcYGkHwHHFuH9nz1n+wJLRcQ5Sg2pFo6IN3KOa2vgD8BKpNLgjYCDI+K5POMCkLQQ6Tl7MyJelLQ4sFlE3JxzXDsBfwa6R8RSktYAzi7CKFv2XbQfBXufFVm2X3Ec6eDA4ZKWBZaPiFxLvYv6Wkp6H1gG+JS0n1GYKiNJawM3AHNmm0aQpmX0zy2oTszJZA1IegV4kVQeM6W0PSIaa8zTprJ5nVuSPhSejoh/5xwSAJIOAw4H5omIpbMP+asiYsuc43orIvrmGUNjshKil4B3KRspioibcgsqI+kMoC/pS3o5SYsA90TERjnH1T8i1mqwbWBBvhhfJx3cebBUuiPpvYhYJad41mrucn9hN03SlWRz0yNixdK8zojIdW46QHYwYH3S5/9rBS2TLwxJ/Ug9Bp4r+798NyJWzTey4r3PJL0UERtLGk3dPH4oTslm6YBiP+DAiFglSy5fiYg1co6rUK9lWVyNNsEqlZoWgaQ5ASJiZN6xdGYuc62N2Ysw2tGE/5LKNLtB6uhakInyRwLrkkbaiIj/Slog35CA4k7YnyUijss5hqbsCqwJ9AeIiC+z8shcSDoC+DXwI9Xv9tYLeDmfqKYXEV80mMI2panrtoG/NHNZkHawcyNpOdLI5JLUr/7INa5MoeamN3Jg4Kvs5+LZ539uBwYaSTzqKUACMikiRjb4vyzKEfhCvc8iYuPsZ1FLNqG484YL9VqWRMRnjVUZ5R0XgKQFgT8Ci0TEdpJWAjaIiOtzDq1TcjJZGw9L2j4iCrVEgqSjgTOAr0k7qiJ9MeY+MgNMiIiJpc91pWUbivClXdQJ+/+SdDjwEPXLXPNOcgEmZs00SnOzeuYcz+2kTrx/ov7k/NEFeb4AvsjmfIRSw6djgNyqBiJi87weu0L3kOYzX0e+SXdjijY3vbAHBkqJh6RzSEnuLaTvpf2AhfOKq8wgSfsCXbNqmd8Ar+QcU0nR3mf1ZAeDp3WxL8hB66LOGy7ka1leZUSaVjMLcCupRD5vfyfFdGp2/kPSQX8nkzlwmWsrKjvKKqAn6UNqEgUp85D0EekI2PA842iMpAtJNe8HAkeTRpLej4hTm7tdZyWpsfmHERF5J7lkI7nLAluTErhDgNsj4tJcAyswSfMBfwO2In1ePAH8pgjJrqRVSPPsyncM857L1i8iirDcxnSKPje9iCS9ExGrz2hbW8vKIE8FSmurPg6cGxE/5BdVUtT3maSdSQcwFgGGAUsA/46IlZu9YRso6rzhJl7L08r7NeQU1wCyKqOyMu+iTA15MyLWkfR2WWwD8i5Z7qycTHYikp4Fts67eUxjsqYVh5K+tEX60r4ucn6DZqNERwCbZpueA66OiEm5BdUOZF/a017LiHgy55AKTWVd6Zrb1tayI9ObkXa+HiWt0flSROyec1xnknZUH6BgI/OSZiV1v502Nx34Ou/YJM1GOki3Memg54ukeelFSIxeIS3cficptn2AIyNiw1wDK7gi9kCQ9A5ptPupiFhT0ubA/hGR51Iv0xR13nBBX8s3ImLdUr+BrMro1YIkk88BuwFPZrGtD1wQEbmsTdvZOZmsgSaaV4wEPsszkZN0Palc4RHq74DlvTB6YUm6jlTaUWpscwAwJXJe6F7SgY1tz3vEyFqmieZA021ra5LeBVYH3o6I1bN5KrdGxNY5x1XkkflHgJ+WDjhJWhh4OO+RVEl3k9ZJvDXbtC8wV0TskV9UiaQlSSPzG5GSyZdJ3XkH5xgWkp4E9oiIEdn5uYE7IyK35Y8kzdPc5QU4aPFWRPTNkso1I2Jq3qPMRW8oJumWiDhgRtvaWpGrjLLX9FJgZWAQMD+p+36uncY7K8+ZrI0rSOUKpbV5VgXeA+aUdEREPJFTXJ9np+7ZqTCyndaGRzZGkhaOPjfH0tx1GnwJPpN9SeatvMvbbKQjmv2B3JNJST8DLgAWIB1lLUSZdxEpLQmyITC/pPKGSr3Jed3EzPhsZ3CypN6k0cA+eQcVBV0vLvMP4G5Ju5OeqwdJzYLytkpErFR2/lml1v+5y5LGXfKOoxHzlRJJmNYYJe/GcP2om06zOPB99vtcpO/3vP83RkiaA3gBuE3SMMqa1+WkNG94NtIcwHdIz9lqpH2MDXKKq6ReCXA2fzL3Mv6I+HNWZTSKNBBxeoGqjN4nVaaMIx0k+wdp3qTlwMlkbXwJHBoRgwCyLlNnAycC95Nq9dtc1C2MPkd2fkwecTThX6RGGrdn5/cGZgf+R5povVM+YTFF0tIR8TGA0np2uTf8iIijy89LmotUIlYEFwI7FaFMpx3oTuqO143UXbZkFGneTN7eyt5b15J2YscAr+YaEcUuP4+Ia7NOjP8gdZv9ZUQUoWlLf0nrR8RrAJLWI+1I506pO++VwIKRlmxYDdg5Is7NObSpKut4rrRUQq7lXKUDKZKuBR4oNfqTtB3w0xxDK9kF+AH4LamR0pyk/Z/clBqKSbofWCsi3s3OrwKcmVdckk4GTgF6SBpV2gxMBK7JK66S7ADnXQVKIMvdTPqe/GN2fl9SA6/cKy06I5e51oAaWR+utC3PCcLZB+ctQKlM5lvSekuD8oinXHNlfspxXS9JW5I6hn1C+pBfgrQw7jN5xNOUbOf6vYhYvgCxvBw5rynZ3khaIgq0dldjslLE3kUoIypi+XmDkWWRmokNBErt/nOZTlBW9TELaXTh8+z8EsB/GoxW5kLS88AJpAMCua+zWhbXtqSd+udJr+kmwOER8XiecQGNrneZ53dleyBpUMNGQI1ta2uS/hQRJ+cZQ2OyOfN7At+ROqXeExFf5xtVIun9hp9djW2ztuGRydoYpLQIbWmkaC/g/awxQ55Hzq8BjouIZwEkbUYacShCk4OuktaNiDcAJK1DXZlfng2DXiLNGSglaR/kGMs0kh6i7gh5F1KDlLw7v/0s+/UtpcWh/0H9ubn35xFXOzGrpGsoyLqJzc0xkrRW3nOMKGb5ecP19e5vYntb2zHnx6/E7BHxhuov+Zd7o7iIeCz7X1g/23RsURq2AF9K+gN1c2D3I1VF5arg0xwGZgeiyp+z3A+OkZaT6xkRYyXtT5om9be8DzBm1WxnZZUCewHPSxoSEVvlGVemsJUWnZGTydo4mNQ179js/MukOTOTgDzXb+tZSiQBIuI55b8GYMkvgBuyElyRyhd+kcX3pxzjejUbMZ32hSOpP+nDPk9/Lvt9Mqm505C8gsmUlyKPo66dPqTE18lk04q2bmLR5xgVrvy8NI2gaBrukKrB+n8F8a3Smn+ldfZ2J607mStJpTLqUgniSpKIiBfyiqnMPqR1ox/Izr+Qbctbkac5/JxUHn9Mdv4FUnl13q4EVpe0OnA86XvgZqAonUmHkaYcDScdJMhNg0qLVyTVq7TIM7bOzGWunYikB0hNWm7JNu0PrB0Ru+YXVX2S5gSIiJE5x7EQsCjpCOa+pB1pSI1RroqIFfKKzToeFXTdxGyO0RkN5xhF/kuDNFZ+/vPyg2V5yeb//Y6CjDKXqNjr/61Lmvu0IamhzKekuVq5do3MKkBKZgPWBfrl/VoWmac5VK9sSs/pwNCIuL6xqT85xPVrUpnr/KQDnndHRK5Nu7J5y03KezS3s3Iy2Yok3R0RezbRmZTIeW0epbbmZ5HWGYO0ztiZEfF9flHVkbQDqatZ+eLouUzcl3QQaYS5L/VLJ0YDf8+7ZFPSaOreY91JR+nGFqGUSNKFwLnAeOAx0mjWbyPi1mZv2ImpoOsmFnWOURbHrJSVn0fEhOau31aycturSA2Lpo2WRkS/3IJiWlyFXP8vq/Y4iHRwoAupNPfYiFgv18AakNQHuCQiditALIU6aFE2zeHHwEIUcJqDpI1IDXeWoP5zluuSQtmc4cdIS29sQvoueCfv+a+S/kSarrUp2dq0EZH3dAIrICeTrUjSwhHxVVNHTnzEpGmSriJ1b92cVOKxO/BG3js6knaLiPvyjGFGlCYa7QKsHxEnFSCeARGxhqRdSTuFxwEvRI7rjBWdCrpuoqQ7SG39y+cYzRERuZbTSZqNNJVgY7KdHFLFwA95xgWFHmUu3Pp/ZbH9iDTysS9pZ/pAUqlkrhUqDWWftYOK0OSjaActJN1YCoG6Sp6SiIhD2jik6Uj6D6nLbMPnLK+lx4BplVD7Am9GxIuSFgc2i5zXjZZ0DGkK0v2k13RX4Jq8KwaseJxMdiJFO5JZTtLAiFit7OccwL8iYpMCxFaYEdPmSHq71Akx5zhKnYuvA+7NmlgUYqfVqpMlbeVLcLwAXJl30ibpblKVQCnJ3ReYKyJybwtf4FHmp0hLR/wJmI8UY9+ilCRm30//IHWb3TUixucbEUi6lPqNztYABkfE/rkFlSnwQYubgGMiW58zq4j6S0GSydeLNtpdImlB6taPfiMihuUZD6T9MmCDiBibne9J6iORa5WdFY8b8LSiBqWH9S6iGN3Mitbko1xpx2GcpEVIE70XzjEeoOkR01yDol5JEaSdnL6ktb2K4OHsCPB44AhJ81Oc2ApF0hYR8UyD13OavEvDsqTxr9mpSFZpMDr0rKRc5/KUOSj7eULZtgByHWUmNVEaR/31/+bIM6BGpoTMQ+ri/XrW6CbvndbyKQ6TgTsi4uW8gmngoWxOW6EOWgCrlRJJgIj4XlLuBzkzz0q6iDTSVv6c5dqdWtKewEWk9XIFXCrphIi4N8+4sljK9xWnMP2os5mTydYUEXm3gJ+RyRFRhM5ljXlYaXH0i0hNgoKUvOVtw7IR07Mk/QX4V95BUb9z6mRgMKnUNXcRcVI2b3JkREyRNJaCxFZAPwaeof7rWZJ7B9yizjGiwG3hI1tUvoA2j4ipwFSy9TmzkYc8FXrZkoi4acbXyk1RD1p0kTR3qReDpHkozr5maVSyb9m2IM0lztOppOWOhgFkB2CfAvJOJm8kHdgpdQz+KXB9fuFYUbnMtRPIPswBfkMBy68ayhprzFaE+TKS3oiIdSW9BvyMNGI6KCKWyTm0Qsu6fq5E/dLgXOd/FJWkLsDuEZHrOqGNKfAco3+Tmu98nm1anLQG7GRSFUjezc4K8/6XdARpfunSwEdlF/UCXi5CyWZRSVqWVBbc8LXMO2ErLEkHAqeQKqEA9gDOi4hbmr5V5ybp3fJmO9l3Qu4NeLJY1qKsaWNEvJ1nPFZMTiY7gay5R2OT4qEATT4AJO0BPBYRo5UWYl4LOCfvDy5JpwGXAlsCl5Oex2sj4vSc4yryvJQzgM1IO2CPAtsBL0XOy0kUWak5St5xNFTUOUZFbg9ftPe/0nJLc5OSovIGXaOLdiCxaCS9RFrL8a+k6oGfA13y/vwHkDQ7qbnZ4hFxeJb4Lh8RD+ccGpJWom6075nIfzmJ/SPiVknHNXZ5RFzc1jGVyyp5VgfuyDbtBQyMiN/nF5VZ5YpSemA1VOCyq3KnRcQ9kjYGtiKVu15FXVlKm8uODj6dJWz3SXqYgoyYUux5KbuTvhjfjoifZ40FvCxI856S9DvgLlL3VKAQVQOFmmMkqXdEjCI135lOAZ4vKNj7P/u8GkkxFrRvb3pExNOSlB2gOFNSPyD3ZJJUgtiPtDYnwFDSaGDuyWSWPBZlDjNAz+xnUaciBXA1dSOA1wDr5xeOWXWcTHYiRW6nT10J3Q6k1tOPSDo3z4Cy1vmXA2tm5ydQtkOdsyLPS/khe+4mS+pNKq3uk3dQBbcX6X/y1w225101ULQ5RreT5tn1Y/pqiyLMFwMY7/d/hzEhO6j4X0lHkRK2XJsWlVk6IvaStA9ARIzLli6xBiLiakldgVERUbRmYgBbZ6OQ0+bISzoL8MiktQtF2fm0tnEz6Yh+aY2gfYFbSHMa8jZU0tXA1sAF2bzJLjnHBPC0pN2A+6NYNeF/AV6VdA9ph3p34Lx8Q5rmzayZ0rWknf4xwKu5RlR8K9HIgZ5cIwIiYvO8YygXETtmP4tcbfGW3//tm6RbIuIA0lIls5P6DZxDOohyUDM3bUsTJfUg64YraWmKc7CzcLJmcPtQoM7UZfOZf9SgGVYvoChdg81myHMmOxFJ7zdop9/otjxk8z+2Bd6NiP9KWhhYNSKeyDmu0aQSmSmkpS6KsswLklYmLVkCBZiXUiLpVuB5UkL0A9A7IvLuGllo2bqJo4Dbsk37AnNGxJ75RZWoQOusZs0gmpR3i/+GJC2J3//tTrbMzFakzt2b0aDfQBHKqSVtDfyBdCDqCWAj4OCIeC7PuIpM0l+BWZh+OkFeZfuez2wdgpPJTiTbyb+sQTv9IyPiwHwjm3ZUdUhETJC0GbAacHP5vECbnqQFqL+T/3kzV28TkjYHNslOSwNvAy9ExN9yDazAinqgp6l1ViPi0JziebaRzdO+xCIitxb/7S3RtaZJ+g1wBKlseijZQUTqDiYWoZwaSfOS5tYJeC0ivs05pEJr6vMjz88Ns47AyWQnUuR2+pIGkOZlLUnqgPhPYOWI2D6vmACyOSj7AUtFxDmS+gALR8QbOce1M6nUdRHSnKwlgH9HxMp5xlWSzU9Zh5SE/Io0j2yFfKMqrqIe6MnWV12t7OccwL8iYpOc49qT1P15VNZxudT9ObeErcGOavkXaykB8Q5rOyPpyog4Iu84yvmghZkVjZPJTqTg7fT7R8Rakk4kJR6XSno7InLtUCrpStIi31tExIrZEhxPRMQ6Ocf1Dmn+zlMRsWY2Grh/XiNG5SQ9TSoNfpVU6vpSZIsxW+OKeqBH06+z+h3wXuS8zmpZcrsxaS7bn4HTi7CMSTaPreH81ysL0ujM2jkftGi5JpYGGQn0i4gBbRyOWYfhBjydQNbpE4rdTn9SNjn+QNJ6XpDmNuRtvSzJfRumLcHRPe+ggEkRMVxSF0ldIuJZSZfkHVRmILA2sArpi3qEpFcjYny+YRXatnkH0ISHsmYyFwH9ydZZzTWipLz787VF6P5c5ibS/Nf/y87vS2p+lvv8V2v/Sk2xmjpokWNo7UHf7PRQdn5H0vfVryTdExEX5haZWTvmZLJzKG+jvzjwffb7XKSRkCJ0Rvw5qRzyvIj4VNJSpE6zeZuUlWyWOubNTxqpzNuIrOTwReA2ScMoayiQp4j4LYCkXsDBpPXQFgJmzTGsQsuzKmAG/gNMiYj7soXI1yJ1uMxbUbs/A6zSYK7rs1lDF7PW5IMW1VsMWCsixgBIOgN4BNiUtJ/kZNKsBZxMdgKlNvqSrgUeiIhHs/PbAT/NMbRpsk6kvyk7/ylwQX4RTfN/wAPAApLOIzUg+UO+IQHwLDAncAywf/Z7Lh02G8rWY9uENDo5GLiBlPRa+3NaRNyTlZNuQSonvZK69SfzsidpNPfPETEi6/58Qs4xlfSXtH6D+a9v5RyTdTw+aFG9Bai/fMokYMGIGC/Jy6qYtZCTyc5l/Yg4rHQmIv4lqRBH4iQtS2qPvRL1u5Pm2jUvIm6T1A/YkjSa+9OI+HeeMWW6kdrBf0dqc35XRAzPN6RpZgMuJs1DmZx3MDZTCllOGhHjKFvgOyK+Ar7KLyKQ9C6pgmEW4BVJn2fnlyCN8Jq1Jh+0qN5twOuS/pmd3wm4XVJPwIm4WQu5AU8nIulx0gjRrdmm/YBNI2Kb/KJKJL0EnEFaUHgnUtlrl4g4Pee45mlk8+iImNTmwTRC0mrAXsBupKVVtso5JOtAJD1MWhpha1KJ63jS0iCr5xpYARW5wZl1HA0OWpSadk07aJH3ckJFJ6kvaU1OgJcj4q2yy+aOiO/zicys/XIy2YlkidEZpPkBAC8AZxWhAY+kfhGxtqR3I2LV8m05xzUY6EP9eab/A74GDouIfrkFB0haCNgD2BvolefyLtbxSJqdVE76bkT8NysnXTUinsg5NLNOyQctaqfUVT7vOMzaG5e5diJZ0nhM3nE0YYKkLsB/szl3Q4E5co4J4Eng3oh4HEDST0ijgDcCV5DT3DFJvybNG5sfuIeU2LpMx1pVEctJzTozJ4s1pbwDMGuPPDLZiWSdSE8EVqb+vMTc16WStA7wb9LI3zlAb+DCiHg957imjZSWbSutcTcgItbIKa4/keZJDsjj8c3MzDoSj0yatYxHJjuX20jNWnYkLcNxEPBNrhHVCdJSIEtQt77ktUDeZZtfSfo9cGd2fi/g62y5kNyWCImIk/N6bDMzMzMz8Mhkp1I2L3FgaW6dpDcjYp0CxPYBqbX/u5QlaXmX9EiajzTPdONs08vAWcBIYPGI+Civ2MzMzKx1SHo7ItbMOw6z9sYjk51LqQPpV5J2AL4EGutWmodvIuLBvINoKCK+BY5u4mInkmZmZu1EtmbushFxYzb1Z45sXWtIS4CZWZU8MtmJSNqRtDRIH+BS0rzEs4qQxEnaEtgHeJqyRYUj4v4mb1TbeC6JiGMlPUQqwa0nInbOISwzMzNrAUlnAH2B5SNiOUmLAPdExEYzuKmZNcMjk51IRDyc/ToS2DzPWBrxc2AF0nzJUplrUNZJso3dkv38c06Pb2ZmZq1nV2BNoD9ARHwpqVe+IZm1f04mOxFJywFXAgtGxCrZgvc7R8S5OYcGsE5ELJ93ECUR0S9rsnN4ROyXdzxmZmY2UyZGREgKAEk98w7IrCPokncA1qauBU4mmzsZEQNJi90XwSuSVso7iHIRMQVYQlL3vGMxMzOzmXK3pKuBuSQdBjxF2i8ys5ngkcnOZfaIeEOqty7v5LyCaWB9YICkT0lzJgVEqetsjj4BXpb0IDC2tDEiLs4vJDMzM6tGRPxZ0tbAKGB54PSIeDLnsMzaPSeTncu3kpYmaygjaXfgq3xDmmbbvANowsfZqQvguRVmZmbt14ekA9VPSZpdUq+IGJ13UGbtmZPJzuVI4BpgBUlDgU+BQswHzHs9yYYk3RIRBwAjIuJvecdjZmZmLZeVth5OWhJtaWBR4Cq8JIjZTPHSIJ2IpFmB3YElSR+mo0hH6M7OM64ikvQ+sBXwL2AzUtntNBHxXQ5hmZmZWQtIGgCsC7weEWtm296NiFVzDcysnfPIZOfyT2AEqS32l/mGUnhXkda8/BFZG/EykW03MzOz9mFCREws9Y2Q1I1G1pE2s+p4ZLITkfReRKySdxztiaQrI+KIvOMwMzOzlpN0IemA+oHA0cCvgfcj4tQ84zJr75xMdiKSrgEujYh3846lPZG0MbBsRNwoaT6gV0R8mndcZmZmVhlJXYBDgZ+Qpq48DlwX3hE2mylOJjsBSe+SSjm6AcuSlrso0vIbhSXpDKAvsHxELCdpEeCeiNgo59DMzMxsBiQ9HRFbSrogIn6fdzxmHY3nTHYOO+YdQDu2K7Am2bzJiPhSkpcIMTMzax8WlrQhsLOkO5m+oV7DvghmVgUnk51A0ZbdaGcmRkRIKq3N2TPvgMzMzKxipwOnAYsBFze4LIAt2jwisw7EyaRZE5Ravj0s6WpgrmyNqkOAa/ONzMzMzCr0VURsJ+l0L4Vm1vo8Z9KsGdl80+Mom7AfEU/mG5WZmZlVQlK/iFhbUv+IWCvveMw6Go9MmjWvPzAiIk7IOxAzMzOr2qSsm/2ikv6v4YUR8ZscYjLrMJxMmjVvPWA/SZ8BY0sb3QHXzMysXdgR2ArYBuiXcyxmHY7LXM2aIWmJxra7qZGZmVn7IWn1iHgn7zjMOhqPTJo1w0mjmZlZhzBc0gNAaZ3oF4FjImJIjjGZtXtd8g7AzMzMzKzGbgQeBBbJTg9l28xsJrjM1czMzMw6NEnvRMTqDbYNiIg1cgrJrEPwyKSZmZmZdXTfStpfUtfstD8wPO+gzNo7j0yamZmZWYeWNdS7FNgACOAV4OiI+CLXwMzaOSeTZmZmZtahSboJODYivs/OzwP8OSIOyTcys/bNZa5mZmZm1tGtVkokASLiO2DNHOMx6xCcTJqZmZlZR9dF0tylM9nIpJfIM5tJ/icyMzMzs47uL8Crku7Jzu8BnJdjPGYdgudMmpmZmVmHJ2klYIvs7DMR8X6e8Zh1BE4mzczMzMzMrGqeM2lmZmZmZmZVczJpZmZmZmZmVXMyaWZmZmZmZlVzMmlmZp2epM0kbTiD6xwn6X1JAyU9LWmJtorPzMysiJxMmpmZwWZAs8kk8DbQNyJWA+4FLqx1UGZmZkXmbq5mZtZhSToQ+B0QwEDgbuAPQHdgOLAf0AN4DZgCfAMcHREvzuB+1wQui4iNahe9mZlZsTmZNDOzDknSysADwIYR8a2keUhJ5YiICEm/AFaMiOMlnQmMiYg/V3jflwH/i4hzaxW/mZlZ0XXLOwAzM7Ma2QK4JyK+BYiI7yStCtwlaWHS6OSn1d6ppP2BvsCPWzNYMzOz9sZzJs3MrDO5lFSeuirwS2C2am4saSvgVGDniJhQg/jMzMzaDSeTZmbWUT0D7CFpXoCszHVOYGh2+UFl1x0N9GruzrJ5kleTEslhrR+umZlZ++I5k2Zm1mFJOgg4gdRc523SHMq/At+Tks11ImIzScuROrROpYkGPJKeAlYFvso2fR4RO9f+rzAzMysmJ5NmZmZmZmZWNZe5mpmZmZmZWdXczdXMzKyMpFOBPRpsvicizssjHjMzs6JymauZmZmZmZlVzWWuZmZmZmZmVjUnk2ZmZmZmZlY1J5NmZmZmZmZWNSeTZmZmZmZmVjUnk2ZmZmZmZla1/wduah+THfzpCQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_top20(df, 'cat_2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see for the different categorical features, that the top values have many observations and some variance in the target. That is good to train models on top of these features.<br><br>\n",
    "Finally, we can take a look on the target over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['date'] = pd.to_datetime(df['timestamp']).dt.date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(df[['date', 'target']].groupby('date').target.mean())\n",
    "plt.ylabel('average mean')\n",
    "plt.xlabel('date')\n",
    "plt.xticks(df[['date', 'target']].groupby('date').target.mean().index[::3], rotation='vertical')\n",
    "print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2020-01-02    0.000000\n",
       "2019-11-15    0.000000\n",
       "2020-04-20    0.000105\n",
       "2020-04-21    0.000155\n",
       "2020-01-01    0.063080\n",
       "2020-02-27    0.116180\n",
       "2019-11-14    0.136121\n",
       "2019-11-16    0.150579\n",
       "2020-01-31    0.173862\n",
       "2020-02-01    0.203927\n",
       "2020-01-30    0.239515\n",
       "2020-02-02    0.259636\n",
       "2020-02-03    0.271740\n",
       "2020-01-03    0.283342\n",
       "2020-02-04    0.297116\n",
       "2020-02-29    0.300999\n",
       "2020-02-28    0.302230\n",
       "2020-02-05    0.310806\n",
       "2020-02-07    0.318525\n",
       "2020-02-08    0.319560\n",
       "Name: target, dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[['date', 'target']].groupby('date').target.mean().sort_values().head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary:\n",
    "<li> We explored the data and saw the different raw features available in the dataset.\n",
    "<li> We analzyed basic statistics of the raw features and saw long-tail distribution for categorical features (user, item, brand)\n",
    "<li> Some categorical features (categories) have high occurances\n",
    "<li> In general, we see that categorical features have variance in the target, which we can leverage to engineer more powerful features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We shutdown the kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'status': 'ok', 'restart': False}"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "app = IPython.Application.instance()\n",
    "app.kernel.do_shutdown(False)"
   ]
  }
 ],
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